Grade 4 Maths Resources (1.6.1 Multiplication of 4 Digit Number by ... - Free Printable

Problem Description:

The task is to solve a series of multiplication problems. The worksheet contains 12 multiplication exercises, each involving two numbers. The goal is to compute the product of these numbers for each problem.

Solution Approach:

We will solve each multiplication problem step by step using standard multiplication techniques. Let's go through each problem one by one.

---

Problem 1: \( 6033 \times 24 \)

#### Step-by-Step Calculation:
1. Multiply \( 6033 \) by \( 4 \):
\[
6033 \times 4 = 24132
\]
2. Multiply \( 6033 \) by \( 20 \) (which is the same as multiplying by \( 2 \) and then adding a zero):
\[
6033 \times 20 = 120660
\]
3. Add the results from steps 1 and 2:
\[
24132 + 120660 = 144792
\]

Answer:
\[
\boxed{144792}
\]

---

Problem 2: \( 4151 \times 17 \)

#### Step-by-Step Calculation:
1. Multiply \( 4151 \) by \( 7 \):
\[
4151 \times 7 = 29057
\]
2. Multiply \( 4151 \) by \( 10 \) (which is the same as multiplying by \( 1 \) and then adding a zero):
\[
4151 \times 10 = 41510
\]
3. Add the results from steps 1 and 2:
\[
29057 + 41510 = 70567
\]

Answer:
\[
\boxed{70567}
\]

---

Problem 3: \( 8263 \times 35 \)

#### Step-by-Step Calculation:
1. Multiply \( 8263 \) by \( 5 \):
\[
8263 \times 5 = 41315
\]
2. Multiply \( 8263 \) by \( 30 \) (which is the same as multiplying by \( 3 \) and then adding a zero):
\[
8263 \times 30 = 247890
\]
3. Add the results from steps 1 and 2:
\[
41315 + 247890 = 289205
\]

Answer:
\[
\boxed{289205}
\]

---

Problem 4: \( 3526 \times 40 \)

#### Step-by-Step Calculation:
1. Multiply \( 3526 \) by \( 4 \):
\[
3526 \times 4 = 14104
\]
2. Since we are multiplying by \( 40 \), add a zero to the result:
\[
14104 \times 10 = 141040
\]

Answer:
\[
\boxed{141040}
\]

---

Problem 5: \( 5978 \times 10 \)

#### Step-by-Step Calculation:
1. Multiply \( 5978 \) by \( 10 \):
\[
5978 \times 10 = 59780
\]

Answer:
\[
\boxed{59780}
\]

---

Problem 6: \( 6215 \times 57 \)

#### Step-by-Step Calculation:
1. Multiply \( 6215 \) by \( 7 \):
\[
6215 \times 7 = 43505
\]
2. Multiply \( 6215 \) by \( 50 \) (which is the same as multiplying by \( 5 \) and then adding a zero):
\[
6215 \times 50 = 310750
\]
3. Add the results from steps 1 and 2:
\[
43505 + 310750 = 354255
\]

Answer:
\[
\boxed{354255}
\]

---

Problem 7: \( 2436 \times 29 \)

#### Step-by-Step Calculation:
1. Multiply \( 2436 \) by \( 9 \):
\[
2436 \times 9 = 21924
\]
2. Multiply \( 2436 \) by \( 20 \) (which is the same as multiplying by \( 2 \) and then adding a zero):
\[
2436 \times 20 = 48720
\]
3. Add the results from steps 1 and 2:
\[
21924 + 48720 = 70644
\]

Answer:
\[
\boxed{70644}
\]

---

Problem 8: \( 3149 \times 16 \)

#### Step-by-Step Calculation:
1. Multiply \( 3149 \) by \( 6 \):
\[
3149 \times 6 = 18894
\]
2. Multiply \( 3149 \) by \( 10 \) (which is the same as multiplying by \( 1 \) and then adding a zero):
\[
3149 \times 10 = 31490
\]
3. Add the results from steps 1 and 2:
\[
18894 + 31490 = 50384
\]

Answer:
\[
\boxed{50384}
\]

---

Problem 9: \( 7300 \times 38 \)

#### Step-by-Step Calculation:
1. Multiply \( 7300 \) by \( 8 \):
\[
7300 \times 8 = 58400
\]
2. Multiply \( 7300 \) by \( 30 \) (which is the same as multiplying by \( 3 \) and then adding a zero):
\[
7300 \times 30 = 219000
\]
3. Add the results from steps 1 and 2:
\[
58400 + 219000 = 277400
\]

Answer:
\[
\boxed{277400}
\]

---

Problem 10: \( 4555 \times 32 \)

#### Step-by-Step Calculation:
1. Multiply \( 4555 \) by \( 2 \):
\[
4555 \times 2 = 9110
\]
2. Multiply \( 4555 \) by \( 30 \) (which is the same as multiplying by \( 3 \) and then adding a zero):
\[
4555 \times 30 = 136650
\]
3. Add the results from steps 1 and 2:
\[
9110 + 136650 = 145760
\]

Answer:
\[
\boxed{145760}
\]

---

Problem 11: \( 1628 \times 45 \)

#### Step-by-Step Calculation:
1. Multiply \( 1628 \) by \( 5 \):
\[
1628 \times 5 = 8140
\]
2. Multiply \( 1628 \) by \( 40 \) (which is the same as multiplying by \( 4 \) and then adding a zero):
\[
1628 \times 40 = 65120
\]
3. Add the results from steps 1 and 2:
\[
8140 + 65120 = 73260
\]

Answer:
\[
\boxed{73260}
\]

---

Problem 12: \( 5372 \times 16 \)

#### Step-by-Step Calculation:
1. Multiply \( 5372 \) by \( 6 \):
\[
5372 \times 6 = 32232
\]
2. Multiply \( 5372 \) by \( 10 \) (which is the same as multiplying by \( 1 \) and then adding a zero):
\[
5372 \times 10 = 53720
\]
3. Add the results from steps 1 and 2:
\[
32232 + 53720 = 85952
\]

Answer:
\[
\boxed{85952}
\]

---

Final Answers:

\[
\boxed{
\begin{aligned}
1. & \ 144792 \\
2. & \ 70567 \\
3. & \ 289205 \\
4. & \ 141040 \\
5. & \ 59780 \\
6. & \ 354255 \\
7. & \ 70644 \\
8. & \ 50384 \\
9. & \ 277400 \\
10. & \ 145760 \\
11. & \ 73260 \\
12. & \ 85952
\end{aligned}
}
\]